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Finding the Third Proportional to 141,003.50 and 218,440

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Solution

The third proportional to 141,003.50 and 218,440 is: 338,403.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,003.50 : 218,440 = 218,440 : x
  2. Step 2: Convert to fraction form
    141,003.50/218,440 = 218,440/x
  3. Step 3: Cross multiply
    141,003.50x = 218,440 × 218,440
  4. Step 4: Simplify right side
    141,003.50x = 47,716,033,600
  5. Step 5: Solve for x
    x = 47,716,033,600/141,003.50
  6. Step 6: Final answer
    x = 338,403.19

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.